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Finding the Fourth Proportional to 188.44, 283.14 and 120

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Solution

The fourth proportional to 188.44, 283.14 and 120 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.44 : 283.14 = 120 : x
  2. Step 2: Convert to fraction form
    188.44/283.14 = 120/x
  3. Step 3: Cross multiply
    188.44x = 283.14 × 120
  4. Step 4: Simplify right side
    188.44x = 33,976.80
  5. Step 5: Solve for x
    x = 33,976.80/188.44
  6. Step 6: Final answer
    x = 180.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.